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Share the advantages and disadvantages of the different methods for solving quadratic equations that you have learned. Share special techniques that you have developed along the way. For example, explain to your classmates your technique for remembering the quadratic formula (song, rhyme, rhythm, etc.) to help others remember it as well.
The factors of a quadratic equation will be (qx + r) and (sx+t). If the solutions are all integers, you may be able to quickly find q, r, s and t. The advantage of this method is that factoring can be very fast. The disadvantage is that factoring may not work; for instance, factoring will not find solutions that are not integers.
Completing the SquareCompleting the square is a multistep process. The main idea is to convert the original equation into one of the form (x + a)^2 = b, where a and b are constants. The advantage of this method are that it always works and that completing the square gives some insight into how algebra works more generally. The disadvantage is that this method is complex.
Quadratic FormulaThe quadratic formula is x = (-b +- (b*2 - 4ac)^.5))/2a. The advantages of this method are that the quadratic formula always works and is straightforward. The disadvantages are that the formula provides no insight and can become a rote technique.
GuessingSometimes, you can guess an approximate solution. Then, you can increase or decrease your guess, depending on whether the result from your first guess is too big or too small. The advantages of this method are that guessing can be very fast if you guess right, and can get an approximate answer quickly, if that is all you need. The disadvantage is that sometimes you won't be able to make a good guess .
I have a Brainliest for math
15 POINTS NEED ANSWER ASAP!! WILL GIVE BRAINLIEST TO FIRST ANSWER
Which mass is greatest? a. 179,000 mg c. 75 g b. 0.043 kg d. 23,481 cg
An airplane flies at a constant speed. It can travel a distance (
d. of 1,800 kilometer in 2 hours(t) Write an equation in the form is d=rt that represents the relationship between distance (
d. and time (t), where r is the constant of proportionality
If angle m 9 =119,what is the sum of the measures of angle 11 and 16
The measures of angles ∠11 and ∠16 are 119 and 119 respectively .
How to determine the values of the named anglesUsing the parameters given for our Calculation;
∠9 = 119°From the concept of corresponding angles ;
∠9 = ∠11 = 119° (corresponding angles are equal)For ∠16 ;
∠11 and ∠16 are vertically oppositeHence,
∠11 = ∠16 = 119° (vertically opposite angles are the same.)Learn more on angles : https://brainly.com/question/25770607
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What is the value of x? 3x-3
The value of x in the given figure is 19.
What are Vertical angles?Vertical angles are the angles formed when two lines intersect each other. The opposite angles formed by these lines are called vertically opposite angles.
Given that, a figure, we need to find the value of x,
Here, angles, 3x-3 and [6(x-10)] are vertical angles,
We know that,
Vertical angles are equal in measures,
Therefore,
3x-3 = [6(x-10)]
3x-3 = 6x-60
3x = 57
x = 19
Hence, the value of x is 19.
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The complete question is attached
The area of a garden is 12.9 square feet. Each square foot of the garden needs to have 2.6 pounds of soil.How many pounds of soil are needed for the garden?
What is 65.6 divided by 8
10 1/2 - 5 2/3 pleaseee
NEED HELP ASAP 30 POINTS WILL BE GIVEN TO BRAINLIEST
The coordinates of the vertices of △GHJ are G(−1, 3), H(1, 2), and J(−3, −1)
Drag and drop the choices into each box to correctly complete the sentences
been trying to solve this but just don't get it I keep getting it wrong on my homework
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]G(-1,3)\ H(1,2)\ J(-3,-1)[/tex]
Step 1
Find the slope GH
[tex]G(-1,3)\ H(1,2)[/tex]
substitute in the formula
[tex]m=\frac{2-3}{1+1}[/tex]
[tex]m=\frac{-1}{2}[/tex]
[tex]mGH=-\frac{1}{2}[/tex]
Step 2
Find the slope HJ
[tex]H(1,2)\ J(-3,-1)[/tex]
substitute in the formula
[tex]m=\frac{-1-2}{-3-1}[/tex]
[tex]m=\frac{-3}{-4}[/tex]
[tex]mHJ=\frac{3}{4}[/tex]
Step 3
Find the slope JG
[tex]J(-3,-1)\ G(-1,3)[/tex]
substitute in the formula
[tex]m=\frac{3+1}{-1+3}[/tex]
[tex]m=\frac{4}{2}[/tex]
[tex]mJG=2[/tex]
Step 4
Verify if triangle GHJ is a right triangle
we know that
if two lines are perpendicular, then the product of their slopes is equal to minus one
so
[tex]m1*m2=-1[/tex]
compare slope GH with slope JG
we have
[tex]mGH=-\frac{1}{2}[/tex]
[tex]mJG=2[/tex]
[tex]-\frac{1}{2}*2=-1[/tex] -----> side GH and side JG are perpendicular
The triangle GHJ is a right triangle
The answer in the attached figure
Answer:
- 1/2, 3/4, 2, is, two of these slopes have a product of -1
Step-by-step explanation:
Find the distance between the points (4, 2) and (-8, 7).
Drinks at the fair cost 2.50$ use an equation to represent the relationship between the numbers of drinks bought ad the cost define your variable and make a table to help write the equation
Answer:
[tex]C=2.5d[/tex]
Step-by-step explanation:
Your variable is always the number of drinks that you are going to drink, and the independent clause is the cost of the drink, which is $2.5.
Drinks Cost
1 2.5
2 5
3 7.5
4 10
5 12.5
SO now you know that the cos of 3 drinks is 7.5 and that can be escalated to any number that you want just by puttin the number of drinks that are going to be bought and multiply it by the cost.
A computer is programmed to scan the digits of the counting numbers. For example, if it scans
1 2 3 4 5 6 7 8 9 10 11 12 13
then it scanned 17 digits altogether. If the computer begins it's task and scans the first 1392 digits starting with 1, what is the last counting number scanned?
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The pitch of a roof is its slope. The roof of a home rises vertically a distance of 8 ft through a horizontal distance of 15 ft. Find the pitch of the roof.
The pitch of a roof of a home rises vertically a distance of 8 ft through a horizontal distance of 15 ft is 0.53.
What is Slope?
The slope of line is a measure of its steepness.
Given that;
Vertical distance (rise) = 8 feet
Horizontal distance (running) = 15 feet
Now, To find the pitch (slope) of the roof, we would use the following formula:
Slope is the ratio of the vertical distance measured to the horizontal distance measured.
Hence, The pitch (slope) of a roof is given by the formula;
Pitch = V / R
Where:
V is the rising vertical distance of an object.
H is horizontal distance an object runs through.
Hence, Substituting the given parameters into the formula, we have;
Pitch = 8/15
= 0.53
Thus, Pitch (slope) = 0.53
So, The pitch of a roof of a home rises vertically a distance of 8 ft through a horizontal distance of 15 ft is 0.53.
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Please help me with both questions thank you.
Which phrase best describes a rock? A. a chemical arranged in a lattice B. a gabbro of minerals C. a mixture of crystals D. a fire-formed crystal
Write an equation of the line in slope-intercept form that crosses the y-axis at 3 and increases at a rate of 1?
y = x - 3
y = x + 3
y = -x + 3
y = 3x + 1
The difference of two numbers is 16 and the sum of their squares is 130. What are the numbers.
How do I work out 5x+2+3x
What is y-x=2x-2/3y in slope intercept form
Sweet T purchased a new pair of pants to wear to the battle of the bands on sale at 40 % off . He saved $20 . What was the regular price of the jeans ?
Can someone please please help me.
The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend. "Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the on-site records of the vehicle. "The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet. A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the Renter's total charge at a cost of $4.50 per gallon plus a $5.00 refueling charge." Tim is running extremely late and has just 5 minutes to return his rental car to the agency. The fuel tank in the car is half empty. It was full when he picked it up. (The car has a 12-gallon fuel tank.) He doesn't think he can get gas and get to the agency to return the car in time. Returning the car a day late will result in an extra daily rental charge of $32.00 and refueling the car on his own will cost $2.59 per gallon at the local gas station. Which of the following statements is true?
a. It would be cheaper to refuel the car and return it a day late.
b. It would be cheaper to return the car on time and pay the refueling costs.
c. It would cost about the same to return the car on time without gas or one day late with gas.
d. Tim is not responsible for refueling the car when he returns it.
Part A: Solve –vp + 40 < 95 for v. Show your work. (4 points) Part B: Solve 8w – 3r = 45 for r. Show your work. (6 points)
Answer:
A)[tex]v>-\frac{55}{p}[/tex]
B)[tex]r=\frac{8}{3}w-15[/tex]
Step-by-step explanation:
A)
The inequality is
–vp + 40 < 95
Subtract 40 to both sides
–vp < 95 - 40
-vp< 55
Now, divide both sides by -p. Whenever, we divide by a negative number inequality sign changes
[tex]v>\frac{55}{-p}\\\\
B)
The given equation is
[tex]8w-3r=45[/tex]
Subtract 8w to both sides
[tex]-3r=45-8w[/tex]
Divide both sides by -3
[tex]r=-15+\frac{8w}{3}\\\\r=\frac{8}{3}w-15[/tex]
Answer:
Step-by-step explanation:
Part A:
The inequality is–vp + 40 < 95.
Work:
We subtract 40 to both sides = –vp < 55. Now, we divide both sides by -p. = v > 55/-p
Part B: Inequality is 8w − 3r = 45.
Work:
We Subtract 8w to both sides = 3r = 45 - 8w. Now, we divide both sides by -3 = r = -15 + 8w and then r = 8/3w - 15.
A packaging plant uses a machine that can bottle 30 fluid ounces of shampoo in 12 seconds. How many fluid ounces of shampoo can be bottled per second?
A) 2/5 fluid ounces
B) 19 fluid ounces
C) 2 ½ fluid ounces
D) 360 fluid ounces
Strawberry chews cost $0.03 more than lollipops. Sarah pays $0.54 for 2 strawberry chews and 4 lollipops. What is the price of a strawberry chew?
Use your properties of addition to find 37 + 58 mentally show your steps and identify the properties that you used
the equation y = 0.25x + 50 gives the cost y of renting a car if the car is driven x miles
According to the model, what is the best estimate of the cost for renting a car if you plan to drive 250 miles?
50$
62.50$
112.50$
300$
need help.... what is half of 1 3/4 IN A FRACTION plzzzzz
(-11/2x+3)-2(-11/4x-5/2)=expression in simplest form needed!!
The given expression in its simplest form is 8.
The given expression is (-11x/2+3)-2(-11x/4-5/2).
We need to write the given expression in the simplest form.
What is an expression in its simplest form?A simplified expression is one in which each base is written only once, there are no negative exponents and no parentheses. Simplifying an expression makes it easier to solve complex problems, and using the rules for exponents makes simplifying expressions easier.
Now, the given expression can be simplified as follows:
(-11x/2+3)-2(-11x/4-5/2)
=-11x/2+3+22x/4+10/2
=-11x/2+22x/4+3+5
=-22x/4+22x/4+8
=8
Therefore, the given expression in its simplest form is 8.
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